Is 1,024,023 a Prime Number?
No, 1,024,023 is not a prime number
Number Properties
- Value:1,024,023
- Number Type:Odd, Positive
- Digit Sum:12
- Total Digits:7
- Binary:11111010000000010111
- Hexadecimal:FA017
Prime Status
1,024,023 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 7 × 112 × 13 × 31
Divisors
Total divisors: 48
1, 3, 7, 11, 13, 21, 31, 33, 39, 77, 91, 93, 121, 143, 217, 231, 273, 341, 363, 403, 429, 651, 847, 1001, 1023, 1209, 1573, 2387, 2541, 2821, 3003, 3751, 4433, 4719, 7161, 8463, 11011, 11253, 13299, 26257, 31031, 33033, 48763, 78771, 93093, 146289, 341341, 1024023
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.